What are the differences between odd, composite, and prime numbers?

In summary, an odd number is an integer that is not divisible by 2, a composite number is an integer with more than two factors, and a prime number is an integer with exactly two factors. To determine if a number is odd, composite, or prime, you can check for specific characteristics. Prime numbers are important because they are the fundamental unit of multiplication and have applications in cryptography and computer science.
  • #1
mathdad
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What is the basic difference between an odd, composite and prime number? Give an example for each.
 
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  • #2
RTCNTC said:
What is the basic difference between an odd, composite and prime number? Give an example for each.

An odd number is an integer not divisible by 2. 3 is an odd number because 3/2 is not an integer.

A composite number is a whole number that has factors other than 1 and itself. 12 is a composite number because it has the factors 1, 2, 3, 4, 6, 12.

A prime number is a natural number greater than 1 that has no factors other than 1 and itself. 17 is a prime number by definition.
 
  • #3
MarkFL said:
An odd number is an integer not divisible by 2. 3 is an odd number because 3/2 is not an integer.

A composite number is a whole number that has factors other than 1 and itself. 12 is a composite number because it has the factors 1, 2, 3, 4, 6, 12.

A prime number is a natural number greater than 1 that has no factors other than 1 and itself. 17 is a prime number by definition.

Good information for review.
 

FAQ: What are the differences between odd, composite, and prime numbers?

What is an odd number?

An odd number is any integer that is not divisible by 2. This means that it has a remainder of 1 when divided by 2.

What is a composite number?

A composite number is any integer that can be divided evenly by at least one number other than 1 and itself. In other words, it has more than two factors.

What is a prime number?

A prime number is any integer that is only divisible by 1 and itself. In other words, it has exactly two factors.

How can you tell if a number is odd, composite, or prime?

To determine if a number is odd, you can simply check if it has a remainder of 1 when divided by 2. To determine if a number is composite, you can check if it has any factors other than 1 and itself. To determine if a number is prime, you can check if it has exactly two factors.

Why are prime numbers important in mathematics?

Prime numbers are important because they are the building blocks of all other numbers. They cannot be divided into smaller whole numbers, making them the fundamental unit of multiplication. Prime numbers also have many applications in cryptography and computer science.

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